105183553680051 has 32 divisors (see below), whose sum is σ = 174853623656448. Its totient is φ = 54639856820640.

The previous prime is 105183553680017. The next prime is 105183553680053. The reversal of 105183553680051 is 150086355381501.

It is not a de Polignac number, because 105183553680051 - 2⁹ = 105183553679539 is a prime.

It is a super-2 number, since 2×105183553680051² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105183553679976 and 105183553680003.

It is not an unprimeable number, because it can be changed into a prime (105183553680053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9449650 + ... + 17310776.

It is an arithmetic number, because the mean of its divisors is an integer number (5464175739264).

Almost surely, 2^{105183553680051} is an apocalyptic number.

105183553680051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105183553680051 is a deficient number, since it is larger than the sum of its proper divisors (69670069976397).

105183553680051 is a wasteful number, since it uses less digits than its factorization.

105183553680051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7919071.

The product of its (nonzero) digits is 2160000, while the sum is 51.

The spelling of 105183553680051 in words is "one hundred five trillion, one hundred eighty-three billion, five hundred fifty-three million, six hundred eighty thousand, fifty-one".